What is the Greatest Common Factor of 85238 and 85246?

Greatest common factor (GCF) of 85238 and 85246 is 2.

GCF(85238,85246) = 2

We will now calculate the prime factors of 85238 and 85246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85238 and 85246.

How to find the GCF of 85238 and 85246?

We will first find the prime factorization of 85238 and 85246. After we will calculate the factors of 85238 and 85246 and find the biggest common factor number .

Step-1: Prime Factorization of 85238

Prime factors of 85238 are 2, 17, 23, 109. Prime factorization of 85238 in exponential form is:

85238 = 2¹ × 17¹ × 23¹ × 109¹

Step-2: Prime Factorization of 85246

Prime factors of 85246 are 2, 7, 6089. Prime factorization of 85246 in exponential form is:

85246 = 2¹ × 7¹ × 6089¹

Step-3: Factors of 85238

List of positive integer factors of 85238 that divides 85238 without a remainder.

1, 2, 17, 23, 34, 46, 109, 218, 391, 782, 1853, 2507, 3706, 5014, 42619

Step-4: Factors of 85246

List of positive integer factors of 85246 that divides 85238 without a remainder.

1, 2, 7, 14, 6089, 12178, 42623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85238 and 85246. The biggest common factor number is the GCF number.
So the greatest common factor 85238 and 85246 is 2.

Also check out the Least Common Multiple of 85238 and 85246